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Summary: 38 Proceedings 4th Australian Communication Theory Workshop 2003
Spatial Concentration of Wave-Fields:
Towards Spatial Information Content in
Arbitrary Multipath Scattering
Rodney A. Kennedy and Thushara D. Abhayapala
Abstract--The fundamental limitation of using a spatial chan-
nel as an information bearing resource is considered. Such theo-
retical foundations are largely absent in the development of wire-
less communication systems which unduly focus on implementa-
tion and as a consequence there are a number of misconceptions
and mal-implementations of communication systems which em-
ploy the MIMO principle. The notion of essential dimensionality
of spatial systems is examined in detail for the case of a spherical
region in three dimensional space in a nearfield scattering environ-
ment as a pointer to a more general theory nearing completion. A
non-trivial but tight analogy is drawn with the classical work on
time-frequency concentration and the dimensionality of essentially
time- and band-limited signals by Slepian, Landau and Pollack.
Index Terms--Essential dimension of space, space-time commu-
nication limits, time-frequency concentration.
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